Some rigorous results for random and quasi-periodic potentials

Thomas Spencer

Physica A: Statistical Mechanics and its Applications, 1986, vol. 140, issue 1, 70-77

Abstract: We review some mathematical results and conjectures for random and quasi-periodic Schrödinger operators. The role of localization in certain nonlinear systems is also discussed. In addition we present some general arguments which show that the correlation length exponent v ⩾ 2/d for a wide class of d dimensional random systems including the dilute Ising ferro-magnet.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:140:y:1986:i:1:p:70-77

DOI: 10.1016/0378-4371(86)90206-2

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